Question

Given point A(2, 6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise? (1 point) ()

Answer 1

To find the new coordinates of point A(2, 6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation formula for 180 degrees:

\[
(x', y') = (-x, -y)
\]

For point A(2, 6), we apply the formula:

\[
x' = -2 = -2
\]
\[
y' = -6 = -6
\]

So, the new coordinates after the rotation will be:

\[
(-2, -6)
\]

Thus, the new coordinates of point A after a 180-degree counterclockwise rotation are **(-2, -6)**.